On the Heisenberg-Weyl inequality

Journal of Inequalities in Pure and Applied Mathematics

Volumn 6, Issue 1, 2005, Pages 1-8

  Rassias, John Michael ^a  

^a UNIVERSITY OF ATHENS   (Greece)

Author keywords

Absolute Moment; Extremum Principle; Gaussian; Heisenberg Weyl Inequality; Uncertainty Principle

Indexed keywords

EID: 15944389562     PISSN: 14435756     EISSN: 14435756     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

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3. R.R. COIFMAN, Y. MEYER, S. QUAKE AND M.Y. WICKERHAUSER, Signal Processing and Compression with Wavelet Packets, in Y. Meyer and S. Roques, eds., Progress in Wavelet Analysis and Applications, Proc. of the Intern. Conf. on Wavelets and Applications, Toulouse, France, Editions Frontières, 1993.
4. I. DAUBECHIES, Ten Lectures on Wavelets, SIAM, Philadelphia, 1992, Vol. 61.
5. G.B. FOLLAND AND A. SITARAM, The Uncertainty Principle: A Mathematical Survey, J. Fourier Anal. & Appl., 3, 207 (1997).
6. C. GASQUET AND P. WITOMSKI, Fourier Analysis and Applications (Springer-Verlag, New York, 1998).
7. W. HEISENBERG, Über den anschaulichen Inhalt der quantentheoretischen Kinematic und Mechanik, Zeit. Physik, 43, 172 (1927); The Physical Principles of the Quantum Theory (Dover, New York, 1949; The Univ. Chicago Press, 1930).
8. W. HEISENBERG, Über den anschaulichen Inhalt der quantentheoretischen Kinematic und Mechanik, Zeit. Physik, 43, 172 (1927); The Physical Principles of the Quantum Theory (Dover, New York, 1949; The Univ. Chicago Press, 1930).
9. J.M. RASSIAS, On the Heisenberg-Pauli-Weyl inequality, J. Inequal. Pure & Appl. Math., 5(1) (2004), Art. 4. [ONLINE http://jipam.vu.edu.au/article. php?sid=356].
10. H. WEYL, Gruppentheorie und Quantenmechanik, S. Hirzel, Leipzig, 1928; and Dover edition, New York, 1950.
11. N. WIENER, The Fourier Integral and Certain of its Applications, Cambridge, 1933.
12. N. WIENER, I am a Mathematician, MIT Press, Cambridge, 1956.